Six cantaloupes are cut up and served into thirty-two equal portions for a catering event. Which of the following shows the amount of cantaloupe in each portion?

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

The relationship between p(n) and n is given by p(n) = 0.0005n

An equation is an expression used to show the relationship between two or more numbers and variables.

Let p represent the weight in pounds and n represent the weight in tons.

1 pound = 0.0005 ton, hence:

p(n) = 0.0005n

The relationship between p(n) and n is given by p(n) = 0.0005n

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Answer:

Step-by-step explanation:

This is a proportional question. If you learn how to keep things together, they are not only easy to do, they are mechanical: they are all done exactly the same way.

tanks of gas             different tanks of gas          

==========     =         ================

hours                                  different hours.

initial tank of gas = 3/4 tank

initial hours = 9/2 = 4.5 hours

final tanks of gas = X

final time = 12 hours.

Solution

3/4                            x

====         =      ==============

4.5                           12

Cross multiply

4.5x = 12*3/4                      Combine the right

4.5x = 36/4                        Simplify  

4.5x = 9                              Divide both sides by 4.5

x = 9/4.5

x = 2

So she will need 2 tankfuls.

Answer:

50 i hope your helpful

......

Answer:

it is 50

Step-by-step explanation:

i really hope this helped bestie!

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The value of the expression, 5x^2 - 4, when x = 2 is: 16.

To find the value of an expression, plug in the given value of the variable and solve by simplifying.

Given the expression, 5x^2 - 4, when x = 2, we would have:

5(2)^2 - 4

5(4) - 4

20 - 4

= 16

Therefore, the value of the expression, 5x^2 - 4, when x = 2 is: 16.

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Answer:

  -1701

Step-by-step explanation:

The recursion relation tells you each term of the sequence is -3 times the previous term. Then the first 6 terms are ...

  7, -21, 63, -189, 567, -1701

The value of f(6) is -1701.

_____

Additional comment

The explicit formula for a geometric sequence with first term 7 and common ratio -3 is ...

  f(n) = 7×(-3)^(n-1)

Then f(6) is ...

  f(6) = 7×(-3)^5 = 7×(-243) = -1701

Answer:

one post id plenty!

Step-by-step explanation:

sorry if wrong

Answer:

See below.

Step-by-step explanation:

The answer is 4x+5y=6.

A linear function has a single slope. A function with exponents will not be linear.

-hope it helps

Answer:

m = 5

Step-by-step explanation:

Recall that "slope" = rise/run.

Moving from the first point to the second, we see a 'run' of 1 and a 'rise' of 5.  Thus, the slope of the line containing these two points is

m = rise/run = 5/1, or m = 5

Answer:

$12,060

Step-by-step explanation:

LET selling price be rep by x

since he made a profit of 12%, we then add to 100%

100% + 12% = 112%.

to find the selling price, we multiply cost price  by 112%

112% x $10768 =

112 / 100  x $10,768

=  1.12 x $10,768  = 12,060

selling price = $12,060.

Answer:

12060.16

Step-by-step explanation:

Answer:

∠e and ∠a

Step-by-step explanation:

-Chetan K

Answer:

Answer:

C: 544

Step-by-step explanation:

4hr x 2 = 8hrs this means the time is just doubled so to solve the equation we do the following

272 x 2 = 544

or

272 + 272 = 544

Answer:

12

Step-by-step explanation:

my boys said so, and I agree

(7*60)/34

Step-by-step explanation:

f(3)= 2(3)-2

=6-2

=4

easy peasy

Answer:

[tex] \displaystyle{f(x) = 2x - 2}[/tex]

[tex]2(3) - 2[/tex]

[tex]6 - 2[/tex]

[tex]4[/tex]

We dont talk about math math math math math

Step-by-step explanation:

are you in high school? if you are.... i cant help you but i want to say watch encanto and Iron man 1 2 and 3

Answer:

-4 ± √13

Step-by-step explanation:

Answer: the answer is C

Answer:

10 times as much as 60 equals 600

Step-by-step explanation:

10x60=600

Answer:

10 times as much as 60 is 600

Step-by-step explanation:

60×10=600

Answer:Rewrite the problem in vertical form.

Compare the two fractions.

If the top fraction is larger than the bottom fraction, go to Step 3.

If not, in the top mixed number, take one whole and add it to the fraction part, making a mixed number with an improper fraction.

Subtract the fractions.

Subtract the whole numbers.

Simplify, if possible.

Step-by-step explanation:

Answer:

2x +2y= 123, or

8a +2x +2y= 191

Step-by-step explanation:

Perimeter of rectangle= 2(length) +2(width)

Let the length and the width of the picture be x and y respectively.

Perimeter of the picture= 2x +2y

2x +2y= 123 -----(1)

Let the width of the border be a.

Length of picture frame= a +x +a= 2a +x

Width of the picture frame= a +y +a= 2a +y

Outer perimeter of the frame= 191

2(2a +x) +2(2a +y)= 191

Expand:

4a +2x +4a +2y= 191

8a +2x +2y= 191 -----(2)

Substitute (1) into (2):

8a +123= 191

8a= 191 -123

8a= 68

a= 68 ÷8

a= 8.5 cm

Thus the width of the border is 8.5 cm.

Answer: Bottom right

Step-by-step explanation:

5^0 = 1

1^-4 = 1

5^6 / 1 = 5^6

So the answer is the bottom right

Answer:

p = 44

Step-by-step explanation:

steps:

A. multiply through by the L.C.M (4).

Answer:

[tex] \tt{✧ \: S \: O \: L \: U \: T \: I \: O \: N : }[/tex]

[tex] \large{ \tt{✿ \: 3x = x + 80 \degree}}[/tex] [ Exterior angle is equal to the sum of two non - adjacent interior angles ]

[tex] \longrightarrow \: \tt{3x - x = 80 \degree}[/tex]

[tex] \longrightarrow \tt{2x = 80 \degree}[/tex]

[tex] \longrightarrow \tt{x = \frac{80 \degree}{2} }[/tex]

[tex] \longrightarrow{ \boxed{ \tt{x = 40 \degree}}}[/tex]

Hope this helps! ( ╹▽╹ )

Answer:

it could be 1.5 or 1

Step-by-step explanation:

because 1.5 times 2 is 3 and 1 times 2 equals 2

please mark brainliest if it helped

Answer:

No, it can exceed 3

Step-by-step explanation:

the variable could be anything from 600 to 600 million and when you double it's only going to get bigger.

Answer:

>

Step-by-step explanation:

|-4| = 4

-|4| = -4

Breaking down this problem above, we know the absolute value of 4 is 4. Multiply that by -1, you get -4

Now, plugging in these answers, we have...

4 ___ -4

4 is greater than -4, so you put >

Answer:

If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

Consider the sum of the measures of the exterior angles for an n -gon.

N=180n−180(n−2)

Distribute 180 .

N=180n−180n+360 =360.

Step-by-step explanation: